Solved: In 69 and 70, use a CAS as an aid in solving the auxiliary equation. Form the
Chapter 3, Problem 70(choose chapter or problem)
In Problems 69 and 70, use a CAS as an aid in solving the auxiliary equation. Form the general solution of the differential equation. Then use a CAS as an aid in solving the system of equations for the coefficients \(c_{i}, i=1,2,3,4\) that result when the initial conditions are applied to the general solution.
\(\begin{array}{l}y^{(4)}-3 y^{\prime \prime \prime}+3 y^{\prime \prime}-y^{\prime}=0 \\y(0)=y^{\prime}(0)=0, y^{\prime \prime}(0)=y^{\prime \prime \prime}(0)=1\end{array}\)
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